In a telephone survey of 1000 adults, respondents were asked about the expenses on a management education and relative necessity of some form of financial assistance. The respondents were classified according to whether they currently had a child studying in a school of management and whether they thought that the loan burden for most management students is too high, right amount, or too little. The proportions responding in each category are given below: Too High(A) Right Amount(B) Too Little(C) Child Studying 0.35 0.08 0.01 management (D) No Child Studying 0.25 0.20 0.11 Management (E) Suppose one respondent is chosen at random from this group. Then (i) What is the probability that the respondent has a child studying management? (ii) Given that the respondent has a child studying management, what is the probability that he/she ranks the loan burden “too high”? (iii) Are the events D and A independent? Explain.
In a telephone survey of 1000 adults, respondents were asked about the
expenses on a management education and relative necessity of some form of
financial assistance. The respondents were classified according to whether they
currently had a child studying in a school of management and whether they
thought that the loan burden for most management students is too high, right
amount, or too little. The proportions responding in each category are given
below:
Too High(A) Right Amount(B) Too Little(C)
Child Studying 0.35 0.08 0.01
management (D)
No Child Studying 0.25 0.20 0.11
Management (E)
Suppose one respondent is chosen at random from this group. Then
(i) What is the probability that the respondent has a child studying
management?
(ii) Given that the respondent has a child studying management, what is the
probability that he/she ranks the loan burden “too high”?
(iii) Are the events D and A independent? Explain.
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